Cambridge Additional Mathematics

7

Pn

i=

ai a 1 +a 2 +::::+an

f functionf

f:x 7 !yfis a function under whichxis mapped toy

f(x) the image ofxunder the functionf

f¡^1 the inverse function of the functionf

g±f,gf the composite function offandg

lim

x!a

f(x) the limit off(x)asxtends toa

dy

dx

the derivative ofywith respect tox

d^2 y

dx^2

the second derivative ofywith respect tox

f^0 (x) the derivative off(x)with respect tox

f^00 (x) the second derivative off(x)with respect tox

R

ydx the indefinite integral ofywith respect tox

Rb

aydx the definite integral ofywith respect toxfor values ofxbetweenaandb

e base of natural logarithms

ex exponential function ofx

lgx logarithm ofxto base 10

lnx natural logarithm ofx

logax logarithm to the baseaofx

sin,cos,tan,

cosec,sec,cot

the circular functions

A(x,y) the point A in the plane with Cartesian coordinatesxandy

AB

8

<

:

the line segment with endpoints A and B

the distance from A to B

the line containing points A and B

Ab the angle at A

CABb the angle between CA and AB

4 ABC the triangle whose vertices are A, B, and C

a the vectora

¡!

AB the vector represented in magnitude and direction by the directed line segment

from A to B

jaj the magnitude of vectora

j

¡!

ABj the magnitude of

¡!

AB

i,j unit vectors in the directions of the Cartesian coordinate axes

M a matrixM

M¡^1 the inverse of the square matrixM

detM the determinant of the square matrixM

IGCSE

cyan magenta yellow black

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\CAM4037\CamAdd_00\007CamAdd_00.cdr Friday, 31 January 2014 2:46:05 PM BRIAN